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Finding the Fourth Proportional to 6,749.88, 9,326.72 and 5,191.44

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Solution

The fourth proportional to 6,749.88, 9,326.72 and 5,191.44 is: 7,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.88 : 9,326.72 = 5,191.44 : x
  2. Step 2: Convert to fraction form
    6,749.88/9,326.72 = 5,191.44/x
  3. Step 3: Cross multiply
    6,749.88x = 9,326.72 × 5,191.44
  4. Step 4: Simplify right side
    6,749.88x = 48,419,107.28
  5. Step 5: Solve for x
    x = 48,419,107.28/6,749.88
  6. Step 6: Final answer
    x = 7,173.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.